Andre (Pulpwood) Smith scored touchdowns on runs of 44 and 34 yards in the first four minutes as 20th-ranked Georgia took command early, then held off an Alabama rally in a 24-14 Southeastern Conference victory yesterday in Birmingham.

Georgia is 46-5-1 since the start of the 1980 season. Alabama (1-4) has lost its opening two conference games for the first time since 1956.

Kevin Butler made it 17-0 for Georgia (3-1, 1-0) with his 34-yard field goal with 5:56 left in the first half before Alabama's offense, held to 26 yards, finally got going. The Tide cut the halftime lead to 17-7 when freshman Vince Sutton ran 32 yards on a quarterback draw.

Alabama opened the second half with an 80-yard drive that featured a 58-yard run to the one by Paul Ott Carruth. Sutton scored two plays later on a two-yard keeper.

Alabama later had possessions beginning at its 44 and 49, midfield and at the Bulldogs' 44 after Georgia failed on a fourth-and-two gamble, but did not take advantage.

Georgia Coach Vince Dooley, questioning some of his own decisions, said, "This is the greatest example of a team overcoming bad coaching. Between Alabama and me, we really put Georgia in a lot of trouble."